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    If f is genuinely the same function across contexts, its ... — Carmelics
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    Challenges→P4's dilemma assumes that v'(f(Q)) ≠ v(f(Q)) is implausible, but under functional dependence, functional consistency requires only that f applied to the new base value v'(Q) yields the correct eigenvalue, which is a constraint satisfied, not violated, by context-change.

    If f is genuinely the same function across contexts, its outputs should be invariant under mere value reassignments. Changing v'(Q) while keeping f constant but getting different results suggests equivocation.

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    Key Terms

    Equivocation(Lewis diagnoses the ontological argument as equivocating on 'a being than which nothing greater can be conceived is possible'.)
    A fallacy in which a key term or phrase is used in two different senses within the same argument, making an invalid inference appear valid.
    Function(Boorse's account of biological function, grounding his theory of disease)
    A species-typical contribution to survival and reproduction
    Invariant(the statement contrasts this with context-shifting)
    Something that stays the same and doesn't change across different situations or contexts.
    value reassignments(as used in logic and mathematics)
    Changing what something is assigned or set to equal—like giving a variable a different number than before.

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    P4's dilemma assumes that v'(f(Q)) ≠ v(f(Q)) is implausible, but under functiona...

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    P4's dilemma assumes that v'(f(Q)) ≠ v(f(Q)) is implausible, but under functiona...

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